Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#22554405 |
| Sylow | C263 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8416 |
2648 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46782625, #46782627, #46782630, … |
| maximal normal subgroup of | #46782625, #46782627, #46782630, … |
| maximal quotient of | C2×#30681688, C2×#30681690, #46781493, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 594);